Evaluate
\frac{\sqrt{10}}{10}\approx 0.316227766
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\frac{1}{\sqrt{8+2}}
Multiply 4 and 2 to get 8.
\frac{1}{\sqrt{10}}
Add 8 and 2 to get 10.
\frac{\sqrt{10}}{\left(\sqrt{10}\right)^{2}}
Rationalize the denominator of \frac{1}{\sqrt{10}} by multiplying numerator and denominator by \sqrt{10}.
\frac{\sqrt{10}}{10}
The square of \sqrt{10} is 10.
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